The value of energy in the nth orbit (Let the potential energy be zero when r = 0)
∫r0dU=∫r0→f.→drU(r)=Dr2n2 &K=12mv2n=12Dr2n∴T.E=U+K=Dr2n=nh2π√DM
A particle with mass m is held in circular orbit around the origin by an attractive force F(r)=-Dr; where D is a positive constant. Assume that the Bohr model idea that ,the angular momentum is quantized i.e. it takes only integral multiples of h2π holds. The value of energy in the nth orbit (Let the potential energy be zero when r = 0)
Match the items in column I with their respective values in column II. 1. According to Bohr's thoery En = Total energy Kn = Kinetic energy Vn = Potential energy rn = Radius of nth orbit energy
Column IColumn IIa.VnKn=?p.0b.If radius ofnthorbit∝Exn,x=?q.−1c.Angular momentum in lowest orbitalr.−2d.1rn∝Zy,y=?s.1